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1135486040 = 2351319910973
BaseRepresentation
bin100001110101110…
…0010010001011000
32221010121200000112
41003223202101120
54311141023130
6304401223452
740065320633
oct10353422130
92833550015
101135486040
11532a52517
12278331b88
13151326a40
14aab38c1a
1569a45495
hex43ae2458

1135486040 has 64 divisors (see below), whose sum is σ = 2765448000. Its totient is φ = 417111552.

The previous prime is 1135485997. The next prime is 1135486061. The reversal of 1135486040 is 406845311.

It is a junction number, because it is equal to n+sod(n) for n = 1135485988 and 1135486006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97994 + ... + 108966.

It is an arithmetic number, because the mean of its divisors is an integer number (43210125).

Almost surely, 21135486040 is an apocalyptic number.

1135486040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135486040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382724000).

1135486040 is an abundant number, since it is smaller than the sum of its proper divisors (1629961960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1135486040 is a wasteful number, since it uses less digits than its factorization.

1135486040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11196 (or 11192 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1135486040 is about 33696.9737513623. The cubic root of 1135486040 is about 1043.2633073909.

The spelling of 1135486040 in words is "one billion, one hundred thirty-five million, four hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 199 260 398 520 796 995 1592 1990 2587 3980 5174 7960 10348 10973 12935 20696 21946 25870 43892 51740 54865 87784 103480 109730 142649 219460 285298 438920 570596 713245 1141192 1426490 2183627 2852980 4367254 5705960 8734508 10918135 17469016 21836270 28387151 43672540 56774302 87345080 113548604 141935755 227097208 283871510 567743020 1135486040